Search a number
-
+
12202120021221 = 3213221094717157
BaseRepresentation
bin1011000110010000011100…
…0001111000010011100101
31121012111210201120000200100
42301210013001320103211
53044404420211134341
641541324311334313
72366400623601264
oct261440701702345
947174721500610
1012202120021221
113984987709359
121450a29381399
136a6868cb9890
1430282b47c5db
151626125643b6
hexb19070784e5

12202120021221 has 24 divisors (see below), whose sum is σ = 18981938135160. Its totient is φ = 7508655709056.

The previous prime is 12202120021213. The next prime is 12202120021229. The reversal of 12202120021221 is 12212002120221.

It is a happy number.

12202120021221 is a `hidden beast` number, since 1 + 220 + 2 + 1 + 200 + 21 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (12202120021213) and next prime (12202120021229).

It can be written as a sum of positive squares in 4 ways, for example, as 761929968996 + 11440190052225 = 872886^2 + 3382335^2 .

It is not a de Polignac number, because 12202120021221 - 23 = 12202120021213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202120021194 and 12202120021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202120021229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228175 + ... + 4945331.

It is an arithmetic number, because the mean of its divisors is an integer number (790914088965).

Almost surely, 212202120021221 is an apocalyptic number.

It is an amenable number.

12202120021221 is a deficient number, since it is larger than the sum of its proper divisors (6779818113939).

12202120021221 is a wasteful number, since it uses less digits than its factorization.

12202120021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739285 (or 4739282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202120021221 its reverse (12212002120221), we get a palindrome (24414122141442).

The spelling of 12202120021221 in words is "twelve trillion, two hundred two billion, one hundred twenty million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 22109 66327 198981 287417 862251 2586753 4717157 14151471 42454413 61323041 183969123 551907369 104291624113 312874872339 938624617017 1355791113469 4067373340407 12202120021221